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Simplifying 6(4k + 3) = -1k + 18 Reorder the terms: 6(3 + 4k) = -1k + 18 (3 * 6 + 4k * 6) = -1k + 18 (18 + 24k) = -1k + 18 Reorder the terms: 18 + 24k = 18 + -1k Add '-18' to each side of the equation. 18 + -18 + 24k = 18 + -18 + -1k Combine like terms: 18 + -18 = 0 0 + 24k = 18 + -18 + -1k 24k = 18 + -18 + -1k Combine like terms: 18 + -18 = 0 24k = 0 + -1k 24k = -1k Solving 24k = -1k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add 'k' to each side of the equation. 24k + k = -1k + k Combine like terms: 24k + k = 25k 25k = -1k + k Combine like terms: -1k + k = 0 25k = 0 Divide each side by '25'. k = 0 Simplifying k = 0
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